Continuity mistake: In the end, when the President is visited by the X-Men, he receives a blue binder, which is laid in front of him on the table. When they have left, you see a shot including the President's desk, and you can see that the only thing he has on the table are some sheets of paper, stapled in the upper left corner, opened up. Then the shot changes to a close-up of the President, and then back again, and you see the blue binder in front of him, closed, and the papers have disappeared. (02:01:40)
Visible crew/equipment: During the scene where Neo is talking to Agent Smith in the park area where Neo was talking to the Oracle, there is a close-up on Agent Smith's face. In his sunglasses you can see a bright white screen to reflect the light onto the faces of the actors. This isn't visible in any non-reflected angles. You can also see the cameraman on the other side. (00:51:15)
Continuity mistake: In the final chase scene, the yellow Hummer starts out with an open sunroof. As it barrels through the shantytown, interior shots of the Hummer show it with a large overhead bank of storage compartments, while overhead shots show the sunroof. When the chase finally reaches Gitmo, the Hummer once again is shown with an open sunroof. (02:11:50 - 02:12:55)
Character mistake: When Charlie is calling out the brick count to Napster from the subway, he describes it as being "13 across, 4 high, 4 deep". The bricks appear to be 2 deep in the safe (13x4x2), so he could just be lumping two shelves together, which works (13x4x4 = 13x4x2x2). The problem is that when the camera pans down there are 3 shelves in the safe. This means that there are more than the 208 bricks that Napster announces. (01:33:40)
Continuity mistake: In the second half of the film, Frodo has a scar on his lower right cheek, close to his chin. Many times throughout the rest of the film the scar changes position and size on his right cheek. It also appears on his left cheek in flipped shots (most obviously on the slopes of Mount Doom when Sam is cradling his head). (02:31:05 - 02:34:00)
Factual error: The geodes occurring in the mantle during the film are impossible in two ways. Firstly, there are no gaps at those depths. The pressure is approximately 3.5 million times surface pressure, and it is not feasible that such structures could form, let alone be maintained. Secondly, the crystals inside the geodes are described as amethysts. Amethysts are a purple variety of quartz, and as any undergrad geology student could tell you, there is no quartz in the mantle, it simply is not stable at such high temperatures.
Continuity mistake: When Quatermain arrives in London, he is greeted by Reed who leads him down some stairs. In the shot where they're going down some spiral stairs, for some reason you see a different actor (who is clean shaven) posing as Reed, going down the stairs holding the umbrella in his right hand. Then in the next shot you see the "original" actor who has a slight goatee and is holding the umbrella in his left hand. (00:13:25)
Continuity mistake: Near the beginning, when Banner arrives at the lab with his helmet on, he removes the helmet when he sees Betty. A close-up of his face is shown and his hair is messy with part of his fringe on his forehead. Betty is shown quickly, then the same shot of Banner is shown again, but this time his hair is perfect.
Continuity mistake: When Cody Banks crashes a rocket propelled snowboard into a tree, Ronica Miles meets him using a jet pack. When she lands, she unbuckles herself and all the straps are seen free. After a shot of Cody's snowboard in the tree, it goes back to Ronica and she begins unbuckling herself from the jet pack again.